Final answer:
To represent the price of a ticket before the discount, we can use the equation x = (10 - 0.50Q) / 2, where 'x' is the price of the ticket and 'Q' is the quantity of bus tickets.
Step-by-step explanation:
To represent this situation, we can use the equation of a line. Let's call the price of a ticket before the discount 'x'. The equation will be:
y = b + mx
where 'y' represents the budget, 'b' represents the price of burgers, and 'm' represents the price of bus tickets. Using the given information, the equation can be written as:
10 = 2x + 0.50Q
where 'Q' represents the quantity of bus tickets. Solving for 'x', we get:
x = (10 - 0.50Q) / 2
So, the price of a ticket before the discount is given by the equation x = (10 - 0.50Q) / 2.